Class 10 Exam  >  Class 10 Questions  >  The Index of Coincidence for English language... Start Learning for Free
The Index of Coincidence for English language is approximately
  • a)
    0.068
  • b)
    0.038
  • c)
    0.065
  • d)
    0.048
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The Index of Coincidence for English language is approximatelya)0.068b...
Yes actually you said option C is correct it is actually correct but the actual answer is different

actual answer for index of coincide of English language is 0.0 667

index of coincide is a technique to find the probability of the repeating letters in an encrypted text

the index of coincide value is calculated on the basis of the probability of occurrence of a specified letter and the probability of comparing it to the same letter from the second text





so this is my answer for index of coincide of English language is 0.0667 but you have given that C is correct option
Free Test
Community Answer
The Index of Coincidence for English language is approximatelya)0.068b...
Index of Coincidence for English Language

The index of coincidence is a measure of how closely a frequency distribution of letters in a language matches the distribution of letters in a typical sample of that language. It is used in cryptography to analyze the frequency of letters in a message and determine the likelihood of a specific encryption method being used.

Calculation

To calculate the index of coincidence, you need to count the frequency of each letter in the message and then calculate the sum of squares of each frequency. Then, you divide the sum of squares by the total number of letters in the message, and finally, you multiply the result by the reciprocal of the message length minus one.

Formula

IC = Σ(fi(fi-1)) / N(N-1)

where,
IC = Index of Coincidence
fi = frequency of the i-th letter
N = total number of letters in the message

English Language

The index of coincidence for the English language is approximately 0.065. This means that the frequency distribution of letters in the English language is fairly uniform, with no significant deviations from the average frequency of letters.

Explanation

The English language has a relatively high index of coincidence compared to other languages because it has a large alphabet and a well-distributed frequency of letters. This makes it difficult for cryptographers to break codes and ciphers using simple frequency analysis.

Conclusion

In conclusion, the index of coincidence is an important tool for analyzing the frequency distribution of letters in a language and determining the likelihood of a specific encryption method being used. The index of coincidence for the English language is approximately 0.065, which indicates a fairly uniform frequency distribution.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer?
Question Description
The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer?.
Solutions for The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The Index of Coincidence for English language is approximatelya)0.068b)0.038c)0.065d)0.048Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev